Solve {cc}{8}&{-6}{4}&{-2}{2}&{-5}+{cc}{6}&{4}{-4}&{10}{0}&{2}=

$$\left( \begin{array} { c c } { 8 } & { - 6 } \\ { 4 } & { - 2 } \\ { 2 } & { - 5 } \end{array} \right) + \left( \begin{array} { c c } { 6 } & { 4 } \\ { - 4 } & { 10 } \\ { 0 } & { 2 } \end{array} \right) =$$

Evaluate

$$\left(\begin{matrix}14&-2\\0&8\\2&-3\end{matrix}\right)$$

Steps Using Rules for Matrix Arithmetic

You can add or subtract two matrices only if both matrices have the same number of rows and columns.

$$\left(\begin{matrix}8&-6\\4&-2\\2&-5\end{matrix}\right)+\left(\begin{matrix}6&4\\-4&10\\0&2\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}8+6&-6+4\\4-4&-2+10\\2&-5+2\end{matrix}\right)$$

Sum each element of the matrix.

$$\left(\begin{matrix}14&-2\\0&8\\2&-3\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}14&0&2\\-2&8&-3\end{matrix}\right)$$